Runge-Kutta with higher order derivative approximations

Applied Numerical Mathematics

Volumn 34, Issue 2, 2000, Pages 207-218

  Goeken, David ^a,b   Johnson, Olin ^c  

^a UNIVERSITY OF HOUSTON   (United States)

^b TITAN CORPORATION   (United States)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; INITIAL VALUE PROBLEMS; PROBLEM SOLVING;

HIGHER ORDER DERIVATIVES; MULTI STEP RUNGE-KUTTA; THIRD ORDER METHOD;

RUNGE KUTTA METHODS;

EID: 0034228947     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00128-2     Document Type: Article

References (4)

1. [1] J.C. Butcher, The Numerical Analysis of Ordinary Differential Equations Runge-Kutta and General Linear Methods, Wiley, New York, 1987.
2. [2] W.H. Enright, Second derivative multistep methods for stiff ordinary differential equations, SIAM J. Numer. Anal. 11 (1974) 321-331.
3. [3] C.W. Gear, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, NJ, 1971.
4. [4] H.H. Rosenbrock, Some general implicit processes for the numerical solution of differential equations, Comp. J. 5 (1963) 329-330.